Question

How do you solve `2y ≥ -2 - x`?

Answer 1

Solve: `2y >= -2 - x`

Explanation:

Standard form: `2y + x + 2 >= 0`.
Solving by graphing.
First, graph Line: 2y + x + 2 = 0 by its intercepts.
Make x = 0 -> y = - 1. Make y = 0 --> x = - 2.
Use the origin O as test point. Substitute x = 0, y = 0 into the inequality, we get 2 > 0. It is true. Then, the solution set area contains the origin O. The area above the line is the solution set.
graph{2y + x + 2 = 0 [-10, 10, -5, 5]}